Greatest Common Factor of 6639/813, 3651/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6639/813, 3651/589

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 6639/813,3651/589

Given fractions are 6639/813,3651/589

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 6639,3651

Greatest Common Factor of Numerators i.e. GCF of 6639,3651 is 3 .

LCM of Denominators means LCM of 813,589 as per the given fractions.

LCM of 813,589 is 478857 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6639,3651

GCF of Fractions 6639/813,3651/589 is 3/478857

3 6639, 3651
2213, 1217

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6639,3651 By Matching Biggest Common Factor Method

Greatest Common Factor of 6639,3651 By Matching Biggest Common Factor Method

Factors of 6639

List of positive integer factors of 6639 that divides 6639 without a remainder.

1,3,2213,6639

Factors of 3651

List of positive integer factors of 3651 that divides 3651 without a remainder.

1,3,1217,3651

Greatest Common Factor

We found the factors 6639,3651 . The biggest common factor number is the GCF number.
So the greatest common factor 6639,3651 is 3.

Lets's calculate LCM of 813,589

Given numbers has no common factors except 1. So, there LCM is their product i.e 478857

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/478857

Therefore, the GCF of Fractions 6639/813,3651/589 is 3/478857

Least Common Multiple of 813,589 with GCF Formula

Least Common Multiple of 813,589 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 813,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,589) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(813,589) x common factors =1 x 1 = 1

LCM(813,589) = ( 813 × 589 ) / 1

LCM(813,589) = 478857 / 1

LCM(813,589) = 478857


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 6639/813, 3651/589

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 6639/813, 3651/589?

Answer: GCF of Numerators as per given numbers 6639/813, 3651/589 is

GCF of Numerators i.e. for 6639,3651 is 3

LCM of denominators i.e. for 813,589 is 478857.

Thus, GCF of Fractions is 3/478857.Finally, GCF of Fractions for 6639/813, 3651/589 is 3/478857.